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The Novel Sufficient Condition for Stability of Discrete-Time Control System of Neural Networks

K. Ratchagit, VU N. Phat, P. Niamsup

Abstract


In this paper, we derive a sufficient condition for asymptotic stability of the zero solution of delay-difference control system of Hopfield neural networks in terms of certain matrix inequalities by using a discrete version of the Lyapunov second method. The result is applied to obtain new asymptotic stability condition for some class of delay-difference control system such as delay-difference control system of Hopfield neural networks with multiple delays in terms of certain matrix inequalities. Our results can be well suited for computational purposes.

Keywords


Asymptotic stability, Hopfield neural networks, lyapunov function, delay-difference control system, matrix inequalities.

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